Geometric Sequences and Series

Find the common ratio: 4, -16, 64, -256, ...

• r = -4
• r = 2
• r = -2
• r = 4

Tags

CCSS.HSF.BF.A.2

Which formula is used to find the explicit equation for geometric sequences?

• a_n = a_n-1 + d
• a_n = a_n-1 * r
• a_n = a₁ + d(n-1)
• a_n = a₁ * r^n-1

Tags

CCSS.HSF.BF.A.2

What is the sum of the first 10 terms for the following geometric series:
2-6+18-54+...

• 59048
• -29524
• 524288
• 3069

Tags

CCSS.HSA.SSE.B.4

What is the sum of the first 10 terms for the following geometric series:
1+1/2+1/4+1/8+1/16+...

• 0.999
• 0.002
• 9.8
• 1.998

Tags

CCSS.HSA.SSE.B.4

The n^th term of a geometric sequence is given by ...

• 
• 
• 
• 

Tags

CCSS.HSF.BF.A.2

The sum of an finite Geometric series is given by:

• 
• 
• 
• 

Tags

CCSS.HSA.SSE.B.4

Is the given sequence geometric?

• Yes

• No

• Cannot be determined

Tags

CCSS.HSF.BF.A.2

List the first five terms of the geometric sequence. Assume that the sequence begins at n = 1.

• 1 , 3 , 6 , 9 , 12

• 3 , 9 , 27 , 81 , 243

• 0 , 1 , 3 , 9 , 27

• 1 , 3 , 9 , 27 , 81

Tags

CCSS.HSF.BF.A.2

List the first five terms of the geometric sequence. Assume that the sequence begins at n = 1.

• 2 , 1/2 , 1/8 , 1/32 , 1/128

• 1/2 , 1/8 , 1/32 , 1/128 , 1/256

• 8 , 2 , 1/2 , 1/8 , 1/32

• 2 , 8 , 32 , 128 , 256

Tags

CCSS.HSF.BF.A.2

Identify the common difference. 
10, 20, 30, 40, ...

• 5
• 10
• 15
• 20

Tags

CCSS.HSF.BF.A.2